Using the statement vs reason chart and prove the following equation.
Given: 2x = 12
Prove: x = 6
This is very short and simple.
2x = 12 Given
x= 6 Division property of equality
Or you could do it this way:
$\displaystyle 2x=12$ Given
$\displaystyle \frac{1}{2}(2)x=\frac{1}{2}(12)$ Multiplication property of equality
$\displaystyle 1x=6 \ \$ Multiplicative Inverse and multiplication
$\displaystyle x=6 \ \$Multiplicative Identity